Highest Common Factor of 204, 3818, 1199 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 204, 3818, 1199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 204, 3818, 1199 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 204, 3818, 1199 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 204, 3818, 1199 is 1.

HCF(204, 3818, 1199) = 1

HCF of 204, 3818, 1199 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 204, 3818, 1199 is 1.

Highest Common Factor of 204,3818,1199 using Euclid's algorithm

Highest Common Factor of 204,3818,1199 is 1

Step 1: Since 3818 > 204, we apply the division lemma to 3818 and 204, to get

3818 = 204 x 18 + 146

Step 2: Since the reminder 204 ≠ 0, we apply division lemma to 146 and 204, to get

204 = 146 x 1 + 58

Step 3: We consider the new divisor 146 and the new remainder 58, and apply the division lemma to get

146 = 58 x 2 + 30

We consider the new divisor 58 and the new remainder 30,and apply the division lemma to get

58 = 30 x 1 + 28

We consider the new divisor 30 and the new remainder 28,and apply the division lemma to get

30 = 28 x 1 + 2

We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get

28 = 2 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 204 and 3818 is 2

Notice that 2 = HCF(28,2) = HCF(30,28) = HCF(58,30) = HCF(146,58) = HCF(204,146) = HCF(3818,204) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 1199 > 2, we apply the division lemma to 1199 and 2, to get

1199 = 2 x 599 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 1199 is 1

Notice that 1 = HCF(2,1) = HCF(1199,2) .

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Frequently Asked Questions on HCF of 204, 3818, 1199 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 204, 3818, 1199?

Answer: HCF of 204, 3818, 1199 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 204, 3818, 1199 using Euclid's Algorithm?

Answer: For arbitrary numbers 204, 3818, 1199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.